To do that it would require some type of persistent memory on the CPU itself. You could open the chip and look for memory of this type, it requires certain sp

To do that it would require some type of persistent memory on the CPU itself. You could open the chip and look for memory of this type, it requires certain special features to operate, and they're somewhat easy to pick out of a chip shot. There's also an engineering reason to avoid doing this: persistent memory cells based on silicon have a limited number of write cycles.